Year 10
Core

Expand a Term over a Single Bracket including Powers

Year 10
Core

Expand a Term over a Single Bracket including Powers

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Lesson details

Key learning points

  1. In this lesson, we will rewrite an expression by multiplying out brackets that involve algebraic terms. We will look at cases where we are multiplying two algebraic terms together, requiring the use of indices. We will also look at generating algebraic expressions using area models.

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5 Questions

Q1.
1. Expand 5(5t + 3)
Correct answer: 25t + 15
25t + 3
40t
Q2.
2. Expand 9(5 – 2t)
18t + 45
Correct answer: 45 – 18t
45 – 2t
Q3.
3. Expand -4(5t + 7)
Correct answer: -20t – 28
-20t + 28
-20t + 7
20t – 28
Q4.
4. Expand and simplify 5(3p + 4) -7
15p – 7
Correct answer: 15p + 13
15p + 20
15p + 20 – 7
Q5.
5. Expand and simplify 9(5k – 3) + 3k + 4
45k – 27
45k – 27 + 3k + 4
Correct answer: 48k – 23
48k – 31

5 Questions

Q1.
1. Expand 5t(5t + 3)
25t + 15
Correct answer: 25t² + 15t
25t² + 3
28t
Q2.
2. Expand 9p(5 – 2p)
17p
18p² + 45p
45 – 18p
Correct answer: 45p – 18p²
Q3.
3. Expand 4e(5e² + 3e + 7)
Correct answer: 20e³ + 12e² + 28e
20e³ + 3e + 7
32e² + 28e
Q4.
4. Expand and simplify 5p(3p + 4) – 7p
Correct answer: 15p² + 13p
15p² + 20p
28p
8p + 4
Q5.
5. Expand and simplify -9k(5k + 3) + 3k + 4
Correct answer: -45k² – 24k + 4
-45k² – 30k + 4
45k² + 24k + 4
45k² + 30k + 4